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Ordinary Differential Equations : a Practical Guide.
A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2011.
|
| Colección: | AIMS Library of Mathematical Sciences.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn782877127 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 120402s2011 enk ob 001 0 eng d | ||
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| 020 | |a 9781139188586 | ||
| 020 | |a 1139188585 | ||
| 020 | |a 9781139186285 |q (e-book) | ||
| 020 | |a 1139186280 |q (e-book) | ||
| 020 | |z 9781107697492 |q (pbk.) | ||
| 029 | 1 | |a DEBSZ |b 379325071 | |
| 029 | 1 | |a DEBSZ |b 445573228 | |
| 035 | |a (OCoLC)782877127 | ||
| 050 | 4 | |a QA372 .S373 2011 | |
| 082 | 0 | 4 | |a 515.352 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Schroers, Bernd J. | |
| 245 | 1 | 0 | |a Ordinary Differential Equations : |b a Practical Guide. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (130 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a AIMS Library of Mathematical Sciences | |
| 505 | 0 | |a Cover; ORDINARY DIFFERENTIAL EQUATIONS; African Institute of Mathematics Library Series; Title; Copyright; Contents; Preface; 1 First order differential equations; 1.1 General remarks about differential equations; 1.1.1 Terminology; 1.1.2 Approaches to problems involving differential equations; 1.2 Exactly solvable first order ODEs; 1.2.1 Terminology; 1.2.2 Solution by integration; 1.2.3 Separable equations; 1.2.4 Linear first order differential equations; 1.2.5 Exact equations; 1.2.6 Changing variables; 1.3 Existence and uniqueness of solutions; 1.4 Geometric methods: direction fields. | |
| 505 | 8 | |a 1.5 Remarks on numerical methods2 Systems and higher order equations; 2.1 General remarks; 2.2 Existence and uniqueness of solutions for systems; 2.3 Linear systems; 2.3.1 General remarks; 2.3.2 Linear algebra revisited; 2.4 Homogeneous linear systems; 2.4.1 The vector space of solutions; 2.4.2 The eigenvector method; 2.5 Inhomogeneous linear systems; 3 Second order equations and oscillations; 3.1 Second order differential equations; 3.1.1 Linear, homogeneous ODEs with constant coefficients; 3.1.2 Inhomogeneous linear equations; 3.1.3 Euler equations; 3.1.4 Reduction of order. | |
| 505 | 8 | |a 3.2 The oscillating spring3.2.1 Deriving the equation of motion; 3.2.2 Unforced motion with damping; 3.2.3 Forced motion with damping; 3.2.4 Forced motion without damping; 4 Geometric methods; 4.1 Phase diagrams; 4.1.1 Motivation; 4.1.2 Definitions and examples; 4.1.3 Phase diagrams for linear systems; 4.2 Nonlinear systems; 4.2.1 The Linearisation Theorem; 4.2.2 Lyapunov functions; 5 Projects; 5.1 Ants on polygons; 5.2 A boundary value problem in mathematical physics; 5.3 What was the trouble with the Millennium Bridge?; 5.4 A system of ODEs arising in differential geometry. | |
| 505 | 8 | |a 5.5 Proving the Picard-Lindelöf Theorem5.5.1 The Contraction Mapping Theorem; 5.5.2 Strategy of the proof; 5.5.3 Completing the proof; References; Index. | |
| 520 | |a A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 7 | |a Differential equations |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Schroers, Bernd J. |t Ordinary Differential Equations : A Practical Guide. |d Cambridge : Cambridge University Press, ©2011 |z 9781107697492 |
| 830 | 0 | |a AIMS Library of Mathematical Sciences. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=807364 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL807364 | ||
| 994 | |a 92 |b IZTAP | ||